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Finding the Fourth Proportional to 2,758.74, 4,139.46 and 1,116.47

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Solution

The fourth proportional to 2,758.74, 4,139.46 and 1,116.47 is: 1,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.74 : 4,139.46 = 1,116.47 : x
  2. Step 2: Convert to fraction form
    2,758.74/4,139.46 = 1,116.47/x
  3. Step 3: Cross multiply
    2,758.74x = 4,139.46 × 1,116.47
  4. Step 4: Simplify right side
    2,758.74x = 4,621,562.21
  5. Step 5: Solve for x
    x = 4,621,562.21/2,758.74
  6. Step 6: Final answer
    x = 1,675.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.